M3 Lesson 1&2 (IF.1&2)

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (x-value).

Front

What does it mean for y to be a function of x?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

Identify the function: {(2, 5), (3, 6), (4, 7), (4, 8)}

Back

Not a function, because the input 4 has two different outputs (7 and 8).

Front

Identify the function: {(2, 5), (3, 6), (4, 7), (5, 8)}

Back

This is a function, as each input has a unique output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where x is the first element and y is the second element.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

Identify the domain of the function: {(−4,2),(−2,1),(0,0),(2,−1)}

Back

The domain is {−4,−2,0,2}.